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Finding the Third Proportional to 11,900,570,832 and 25,943,914,800

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Solution

The third proportional to 11,900,570,832 and 25,943,914,800 is: 56,559,195,743.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900,570,832 : 25,943,914,800 = 25,943,914,800 : x
  2. Step 2: Convert to fraction form
    11,900,570,832/25,943,914,800 = 25,943,914,800/x
  3. Step 3: Cross multiply
    11,900,570,832x = 25,943,914,800 × 25,943,914,800
  4. Step 4: Simplify right side
    11,900,570,832x = 673,086,715,149,659,013,120
  5. Step 5: Solve for x
    x = 673,086,715,149,659,013,120/11,900,570,832
  6. Step 6: Final answer
    x = 56,559,195,743.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.